Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. It is a fundamental and ancient field of mathematics that deals with various aspects of numbers such as divisibility, prime numbers, factorisation, Modular arithmetic, Diophantine equations etc.
Considered the Queen of Mathematics, it has found applications in various fields, including cryptography, coding theory, computer science, physics, and even music. It plays a crucial role in modern mathematics and continues to inspire new research and discoveries in the realm of integer properties and relationships.
In this course, you will learn the basics of number theory and applications and solve a number of arithmetic problems involving divisibility, primes, modular arithmetic and diophantine equations. And you will get to learn many more interesting stuff about numbers!
| Organization/Institution | Position | Period |
|---|---|---|
| Indian Statistical Institute | Professor | July 2010-Present |
| ETH Zurich | Academic Visitor | 2010 |
| Indian Institute of Science Education and Research, Bhopal | Assistant Professor of Mathematics | 2009-10 |
| Tata Institute of Fundamental Research, Mumbai | Academic Visitor | 2009 |
| University of Waterloo | Post-Doctoral Fellow at Department of Pure Mathematics | 2007-09 |
| Max-Planck Institute for Mathematics, Bonn, Germany | Academic Visitor | 2008 |
